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506789987605 = 51124127175391
BaseRepresentation
bin1110101111111110000…
…10011000010100010101
31210110010001202211011221
413113333002120110111
531300401214100410
61024452140130341
751420504550516
oct7277702302425
91713101684157
10506789987605
11185a23810700
1282276b369b1
1338a36aa2315
141a758d12a0d
15d2b1cb64da
hex75ff098515

506789987605 has 48 divisors (see below), whose sum is σ = 687300009984. Its totient is φ = 358253280000.

The previous prime is 506789987603. The next prime is 506789987651.

506789987605 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 506789987605 - 21 = 506789987603 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506789987603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6684460 + ... + 6759850.

It is an arithmetic number, because the mean of its divisors is an integer number (14318750208).

Almost surely, 2506789987605 is an apocalyptic number.

506789987605 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

506789987605 is a deficient number, since it is larger than the sum of its proper divisors (180510022379).

506789987605 is a wasteful number, since it uses less digits than its factorization.

506789987605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75730 (or 75719 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 70.

The spelling of 506789987605 in words is "five hundred six billion, seven hundred eighty-nine million, nine hundred eighty-seven thousand, six hundred five".

Divisors: 1 5 11 41 55 121 205 271 451 605 1355 2255 2981 4961 11111 14905 24805 32791 55555 75391 122221 163955 376955 611105 829301 1344431 3091031 4146505 6722155 9122311 15455155 20430961 34001341 45611555 102154805 170006705 224740571 374014751 837669401 1123702855 1870073755 2472146281 4188347005 9214363411 12360731405 46071817055 101357997521 506789987605